Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

1. \(\frac{7}{10} : \frac{3}{5}\)
2. \(\frac{3}{7} : \frac{4}{5}\)
3. \(\frac{9}{11} : \frac{5}{10}\)
4. \(\frac{3}{13} : \frac{12}{14}\)
5. \(\frac{10}{12} : \frac{12}{15}\)
6. \(\frac{5}{2} : \frac{8}{9}\)
7. \(\frac{5}{5} : \frac{3}{12}\)
8. \(\frac{4}{9} : \frac{7}{3}\)
9. \(\frac{8}{4} : \frac{5}{15}\)
10. \(\frac{10}{9} : \frac{10}{13}\)
11. \(\frac{5}{12} : \frac{8}{7}\)
12. \(\frac{5}{12} : \frac{9}{15}\)

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Deel de breuken

Verbetersleutel

1. \(\frac{7}{10} : \frac{3}{5}\\=\frac{7}{10} . \frac{5}{3}\\=\frac{7.5}{10.3}\\=\frac{35}{30}\\=\frac{7}{6}\)
2. \(\frac{3}{7} : \frac{4}{5}\\=\frac{3}{7} . \frac{5}{4}\\=\frac{3.5}{7.4}\\=\frac{15}{28}\)
3. \(\frac{9}{11} : \frac{5}{10}\\=\frac{9}{11} : \frac{1}{2}\\=\frac{9}{11} . \frac{2}{1}\\=\frac{9.2}{11.1}\\=\frac{18}{11}\)
4. \(\frac{3}{13} : \frac{12}{14}\\=\frac{3}{13} : \frac{6}{7}\\=\frac{3}{13} . \frac{7}{6}\\=\frac{3.7}{13.6}\\=\frac{21}{78}\\=\frac{7}{26}\)
5. \(\frac{10}{12} : \frac{12}{15}\\=\frac{5}{6} : \frac{4}{5}\\=\frac{5}{6} . \frac{5}{4}\\=\frac{5.5}{6.4}\\=\frac{25}{24}\)
6. \(\frac{5}{2} : \frac{8}{9}\\=\frac{5}{2} . \frac{9}{8}\\=\frac{5.9}{2.8}\\=\frac{45}{16}\)
7. \(\frac{5}{5} : \frac{3}{12}\\=\frac{1}{1} : \frac{1}{4}\\=\frac{1}{1} . \frac{4}{1}\\=\frac{1.4}{1.1}\\=\frac{4}{1}= 4\)
8. \(\frac{4}{9} : \frac{7}{3}\\=\frac{4}{9} . \frac{3}{7}\\=\frac{4.3}{9.7}\\=\frac{12}{63}\\=\frac{4}{21}\)
9. \(\frac{8}{4} : \frac{5}{15}\\=\frac{2}{1} : \frac{1}{3}\\=\frac{2}{1} . \frac{3}{1}\\=\frac{2.3}{1.1}\\=\frac{6}{1}= 6\)
10. \(\frac{10}{9} : \frac{10}{13}\\=\frac{10}{9} . \frac{13}{10}\\=\frac{10.13}{9.10}\\=\frac{130}{90}\\=\frac{13}{9}\)
11. \(\frac{5}{12} : \frac{8}{7}\\=\frac{5}{12} . \frac{7}{8}\\=\frac{5.7}{12.8}\\=\frac{35}{96}\)
12. \(\frac{5}{12} : \frac{9}{15}\\=\frac{5}{12} : \frac{3}{5}\\=\frac{5}{12} . \frac{5}{3}\\=\frac{5.5}{12.3}\\=\frac{25}{36}\)